page_title: Clebsch surface
hierarchical_section_title: Clebsch surface
caption_attribution_description: English: An image of the Clebsch cubic. Created using "Surfer"
context_page_description: In mathematics, the Clebsch diagonal cubic surface, or Klein's icosahedral cubic surface, is a non-singular cubic surface, studied by Clebsch and Klein, all of whose 27 exceptional lines
  can be defined over the real numbers. The term Klein's icosahedral surface can refer to either this surface or its blowup at the 10 Eckardt points.
context_section_description: In mathematics, the Clebsch diagonal cubic surface, or Klein's icosahedral cubic surface, is a non-singular cubic surface, studied by Clebsch (1871) and Klein (1873), all of whose 27 exceptional lines
  can be defined over the real numbers. The term Klein's icosahedral surface can refer to either this surface or its blowup at the 10 Eckardt points.
caption: The Clebsch cubic in a local chart
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